摘要
局部柔度是裂纹结构力学响应分析和损伤识别的重要参数之一,然而目前尚缺乏裂纹管局部柔度系数的求解方法。本文根据线性断裂力学理论,获得了轴力、剪力和弯矩等荷载作用下非贯穿直裂纹管单元的附加局部柔度方程,利用自适应的Simpson数值积分方法计算得到裂纹引起的附加局部柔度系数。通过与Naniwadekar等裂纹管模型试验进行对比验证了局部柔度系数求解结果的正确性,并采用最小二乘法回归了无量纲局部柔度系数的表达式。
Local flexibility is one of the most important parameters for dynamic analysis and damage identification of the cracked structure.However,the solution for local flexibility coefficient of pipe due to a crack,is of limited use until now.The local flexibility equations of the pipe with a crack that straight front and part-through-the-thickness subjected to axial force,shearing force and bending moment were derived by using of theories of linear fracture mechanics.An adaptive Simpson quadrature-revisted was used to perform the numerical integration to obtain the flexibility coefficients.And then,the model test results conducted by Naniwadekar et al were used to validate the accuracy of the calculated local flexibility of cracked pipe.In additional,Explicit form formulas of the flexibility coefficient was best-fitted equations by the least-squares method,which is convenient for engineering application in fact.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2011年第1期140-145,共6页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金重点(50439010)
863计划专题(2008AA09Z308)资助项目
关键词
断裂力学
振动分析
局部柔度
裂纹
管道
Fracture mechanics
vibration analysis
local flexibility
crack
pipe
